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Finding the Fourth Proportional to 5,265.69, 7,897.53 and 1,977.69

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Solution

The fourth proportional to 5,265.69, 7,897.53 and 1,977.69 is: 2,966.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.69 : 7,897.53 = 1,977.69 : x
  2. Step 2: Convert to fraction form
    5,265.69/7,897.53 = 1,977.69/x
  3. Step 3: Cross multiply
    5,265.69x = 7,897.53 × 1,977.69
  4. Step 4: Simplify right side
    5,265.69x = 15,618,866.11
  5. Step 5: Solve for x
    x = 15,618,866.11/5,265.69
  6. Step 6: Final answer
    x = 2,966.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.